Combinatorial Algorithms

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Release : 1998-12-18
Genre : Mathematics
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Book Rating : 882/5 ( reviews)

Combinatorial Algorithms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorial Algorithms write by Donald L. Kreher. This book was released on 1998-12-18. Combinatorial Algorithms available in PDF, EPUB and Kindle. This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as: Combinations Permutations Graphs Designs Many classical areas are covered as well as new research topics not included in most existing texts, such as: Group algorithms Graph isomorphism Hill-climbing Heuristic search algorithms This work serves as an exceptional textbook for a modern course in combinatorial algorithms, providing a unified and focused collection of recent topics of interest in the area. The authors, synthesizing material that can only be found scattered through many different sources, introduce the most important combinatorial algorithmic techniques - thus creating an accessible, comprehensive text that students of mathematics, electrical engineering, and computer science can understand without needing a prior course on combinatorics.

Combinatorial Optimization

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Release : 2006-01-27
Genre : Mathematics
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Book Rating : 977/5 ( reviews)

Combinatorial Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorial Optimization write by Bernhard Korte. This book was released on 2006-01-27. Combinatorial Optimization available in PDF, EPUB and Kindle. This well-written textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete (but concise) proofs, as well as many deep results, some of which have not appeared in any previous books.

Geometric Algorithms and Combinatorial Optimization

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 819/5 ( reviews)

Geometric Algorithms and Combinatorial Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Algorithms and Combinatorial Optimization write by Martin Grötschel. This book was released on 2012-12-06. Geometric Algorithms and Combinatorial Optimization available in PDF, EPUB and Kindle. Historically, there is a close connection between geometry and optImization. This is illustrated by methods like the gradient method and the simplex method, which are associated with clear geometric pictures. In combinatorial optimization, however, many of the strongest and most frequently used algorithms are based on the discrete structure of the problems: the greedy algorithm, shortest path and alternating path methods, branch-and-bound, etc. In the last several years geometric methods, in particular polyhedral combinatorics, have played a more and more profound role in combinatorial optimization as well. Our book discusses two recent geometric algorithms that have turned out to have particularly interesting consequences in combinatorial optimization, at least from a theoretical point of view. These algorithms are able to utilize the rich body of results in polyhedral combinatorics. The first of these algorithms is the ellipsoid method, developed for nonlinear programming by N. Z. Shor, D. B. Yudin, and A. S. NemirovskiI. It was a great surprise when L. G. Khachiyan showed that this method can be adapted to solve linear programs in polynomial time, thus solving an important open theoretical problem. While the ellipsoid method has not proved to be competitive with the simplex method in practice, it does have some features which make it particularly suited for the purposes of combinatorial optimization. The second algorithm we discuss finds its roots in the classical "geometry of numbers", developed by Minkowski. This method has had traditionally deep applications in number theory, in particular in diophantine approximation.

Combinatorial Algorithms

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Release : 1977
Genre : Mathematics
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Book Rating : /5 ( reviews)

Combinatorial Algorithms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorial Algorithms write by Edward M. Reingold. This book was released on 1977. Combinatorial Algorithms available in PDF, EPUB and Kindle.

Combinatorial Algorithms for Integrated Circuit Layout

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Release : 2012-12-06
Genre : Technology & Engineering
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Book Rating : 069/5 ( reviews)

Combinatorial Algorithms for Integrated Circuit Layout - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorial Algorithms for Integrated Circuit Layout write by . This book was released on 2012-12-06. Combinatorial Algorithms for Integrated Circuit Layout available in PDF, EPUB and Kindle. The last decade has brought explosive growth in the technology for manufac turing integrated circuits. Integrated circuits with several hundred thousand transistors are now commonplace. This manufacturing capability, combined with the economic benefits of large electronic systems, is forcing a revolution in the design of these systems and providing a challenge to those people in terested in integrated system design. Modern circuits are too complex for an individual to comprehend completely. Managing tremendous complexity and automating the design process have become crucial issues. Two groups are interested in dealing with complexity and in developing algorithms to automate the design process. One group is composed of practi tioners in computer-aided design (CAD) who develop computer programs to aid the circuit-design process. The second group is made up of computer scientists and mathemati'::~l\ns who are interested in the design and analysis of efficient combinatorial aJ::,orithms. These two groups have developed separate bodies of literature and, until recently, have had relatively little interaction. An obstacle to bringing these two groups together is the lack of books that discuss issues of importance to both groups in the same context. There are many instances when a familiarity with the literature of the other group would be beneficial. Some practitioners could use known theoretical results to improve their "cut and try" heuristics. In other cases, theoreticians have published impractical or highly abstracted toy formulations, thinking that the latter are important for circuit layout.